Answer:
-60-14x
Step-by-step explanation:
Distribute the 3: -3(20+5x)+x => 20(-3)+3(-5x)+x => -60 -15x+x
Simplify: -60-15x+x => -60-14x
The top portion of this graph would be y = 4
The bottom portion would be y = x - 1
In order to find both of these, we have to look at them separately. Let's start with the flat line between 1 and -1. Since it is between those numbers, we know this one goes on top. We also know that since the line is horizontal, that the equation must be y = the number that it sits at. This is the definition of a horizontal line. Since the line is at 4, we get y = 4.
For the sloped portion, we have to pick two points and find the equation of the line. Let's use (3, 2) and (5, 4). We must start by finding slope (m)
m = (y1 - y2)/(x1 - x2)
m = (4 - 2)(5 - 3)
m = 2/2
m = 1
So we know slope to equal 1. Now we can use a point and slope intercept form to find the y-intercept (b)
y = mx + b
4 = 1(5) + b
4 = 5 + b
-1 = b
Now put them together in an equation for the bottom part: y = x - 1
Answer:
Step-by-step explanation:
x+6/11=10/11
This is a linear equation, because x has no power, so it will be solved by making x the subject of the equation.
Make x the subject
x+6/11=10/11
x=-6/11+10/11
x=10/11-6/11
Since both fractions have the same denominator, the LCM remains 11
x=(10-6)/11
x=4/11
To check if the answer is correct, we substitute x for 4/11 in the equation. And both sides of the equation must be equal
x+6/11=10/11
4/11+6/11=10/11
(4+6)/11=10/11
10/11=10/11
10x + 2y - 6 = 0
Multiply 5x + y - 3 = 0 by 2
2(5x + y - 3 = 0) = 10x + 2y - 6 = 0
